The mistake lots of people make is to use appliances that are designed more for full-time use in a house than for a few weeks a year in a cabin.
What randolphrowzeebragg says is absolutely true.
If you can afford it, I think it makes sense to buy an AC/DC refrigerator made specifically for off-grid use. These use less power than AC refrigerators made by mainstream manufacturers like GE, LG, etc. When you're powering the frige with a generator, it would operate in AC mode. If you eventually decide to install a solar-electric system, you could run the fridge in DC mode.
In my off-grid house, I have the DC-only version of the fridge shown at the link below, but the fridge comes in an AC/DC version too:
https://sundanzer.com/product/dcr165-dcf165/
I power it with my solar-electric system. It just sips electricity, and it works very well.
A mini-fridge/dorm fridge is a possibility, but I'm pretty sure most of them use lots more electricity than the fridge I have. Read the specs.
Of course, you could buy a propane-fueled fridge. I chose not to do that because I want my house to rely on as little input from outside sources as possible.
And, a propane-fueled tankless water heater is a good choice (some models use very little electricity). If you can afford it.
For cooking, propane is a good choice. Be sure you get a propance range or cooktop that DOES NOT need electricity at all. Many if not most of the ones from mainstream manufacturers do require electricity to function, but there are some available that do not. See
http://uniqueoffgrid.com.
Then there are kerosene stoves and fridges. From a fuel-storage standpoint, these are a great idea because kerosene has a very long shelf life (many years). But dealing with the kerosene can be kind of inconvenient and messy.